TY  - BOOK
AU  - Baues,Hans-Joachim
ED  - SpringerLink (Online service)
TI  - The Algebra of Secondary Cohomology Operations
T2  - Progress in Mathematics,
SN  - 9783764374495
AV  - QA150-272 
U1  - 512 23
PY  - 2006///
CY  - Basel
PB  - Birkhäuser Basel
KW  - Algebra
KW  - Algebraic topology
KW  - Algebraic Topology
N1  - Secondary Cohomology and Track Calculus -- Primary Cohomology Operations -- Track Theories and Secondary Cohomology Operations -- Calculus of Tracks -- Stable Linearity Tracks -- The Algebra of Secondary Cohomology Operations -- Products and Power Maps in Secondary Cohomology -- The Algebra Structure of Secondary Cohomology -- The Borel Construction and Comparison Maps -- Power Maps and Power Tracks -- Secondary Relations for Power Maps -- Künneth Tracks and Künneth-Steenrod Operations -- The Algebra of ?-tracks -- Secondary Hopf Algebras -- The Action of ? on Secondary Cohomology -- Interchange and the Left Action -- The Uniqueness of the Secondary Hopf Algebra ? -- Computation of the Secondary Hopf Algebra ?
N2  - The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a new and unexpected way. The book solves a long-standing problem on the algebra of secondary cohomology operations by developing a new algebraic theory of such operations. The results have strong impact on the Adams spectral sequence and hence on the computation of homotopy groups of spheres
UR  - https://doi.org/10.1007/3-7643-7449-7
ER  -